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Finding the Third Proportional to 75,248 and 160,240

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Solution

The third proportional to 75,248 and 160,240 is: 341,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,248 : 160,240 = 160,240 : x
  2. Step 2: Convert to fraction form
    75,248/160,240 = 160,240/x
  3. Step 3: Cross multiply
    75,248x = 160,240 × 160,240
  4. Step 4: Simplify right side
    75,248x = 25,676,857,600
  5. Step 5: Solve for x
    x = 25,676,857,600/75,248
  6. Step 6: Final answer
    x = 341,229.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.